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Finding the Third Proportional to 12,246 and 17,493

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Solution

The third proportional to 12,246 and 17,493 is: 24,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246 : 17,493 = 17,493 : x
  2. Step 2: Convert to fraction form
    12,246/17,493 = 17,493/x
  3. Step 3: Cross multiply
    12,246x = 17,493 × 17,493
  4. Step 4: Simplify right side
    12,246x = 306,005,049
  5. Step 5: Solve for x
    x = 306,005,049/12,246
  6. Step 6: Final answer
    x = 24,988.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.